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Finding the Fourth Proportional to 11,979.84, 17,970.48 and 5,052

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Solution

The fourth proportional to 11,979.84, 17,970.48 and 5,052 is: 7,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,979.84 : 17,970.48 = 5,052 : x
  2. Step 2: Convert to fraction form
    11,979.84/17,970.48 = 5,052/x
  3. Step 3: Cross multiply
    11,979.84x = 17,970.48 × 5,052
  4. Step 4: Simplify right side
    11,979.84x = 90,786,864.96
  5. Step 5: Solve for x
    x = 90,786,864.96/11,979.84
  6. Step 6: Final answer
    x = 7,578.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.